This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 1

2001 Moldova Team Selection Test, 10
Tags: delta 2
Let $ABC$ be a triangle and let $D$ and $E$ be points on sides $AB$ and $AC$, respectively, such that $DE \parallel BC$. Let $P$ be any point interior to triangle $ADE$, and let $F$ and $G$ be the intersections of $DE$ with the lines $BP$ and $CP$, respectively. Let $Q$ be the second intersection point of the circumcircles of triangles $PDG$ and $PFE$. Prove that the points $A,P,$ and $Q$ are collinear.